Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
338 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 85 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14545983 | C2 | semidirect |
| 2. C4×#10587666 | C2 | semidirect |
| 3. #14545841 | C2 | semidirect |
| 4. #14545829 | C2 | semidirect |
| 196. C17 | #11617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545983 | 2 |
| C4×#10587666 | 2 |
| #14545841 | 2 |
| #14545829 | 2 |
| #14545592 | 2 |
| #11617 | 17 |